A convenience store sells three types of juices: grape, cranberry, and mango. It earns $0.40, $0.55, and $0.85 in profit on each bottle of the three juices, respectively. It can stock no more than 460 bottles in the store each week. Typically, at least 4 times as many grape bottles are sold as cranberry bottles. The company never sells more than 100 bottles of mango juice in a week. How many bottles of each juice should the store stock to maximize profit? (a) How many bottles of grape juice should the store stock? bottles (b) How many bottles of cranberry juice should the store stock? bottles (c) How many bottles of mango juice should the store stock?

Alexis Cornby makes her living buying and selling corn.On January 1, she has 50 tons of corn and $1,000. On thefirst day of each month Alexis can buy corn at the followingprices per ton: January, $300; February, $350; March, $400;April, $500. On the last day of each month, Alexis can sellcorn at the following prices per ton: January, $250; February,$400; March, $350; April, $550. Alexis stores her corn in awarehouse that can hold at most 100 tons of corn. She mustbe able to pay cash for all corn at the time of purchase. Uselinear programming to determine how Alexis can maximizeher cash on hand at the end of April

A company pays skilled workers in its assembly department $16 per hour. Semiskilled workers in that department are paid $9.50 per hour. Shipping clerks are paid $10 per hour. Because of an increase in orders, the company needs to hire a total of 70 workers in the assembly and shipping departments. It will pay a total of $725 per hour to these employees. Because of a union contract, twice as many semiskilled workers as skilled workers must be employed. How many semiskilled workers, skilled workers, and shipping clerks should the company hire?

A rooster costs five coins, a hen costs three coins, and three chicks cost one coin. With 100 coins, we can buy 100 birds. How many roosters, hens, and chicks can we buy?

Shanika has invested in three different stocks. Stock A is currently worth $5.50 per share. Stock B is worth $8.00 per share, while stock C is worth $10.00 per share. Shanika purchased half as many shares of stock B as stock A and half as many shares of stock C as stock B. If her total investments are currently worth $960, how many shares of each stock does she own? She owns shares of stock A.

A vending machine coin box contains nickels, dimes, and quarters. The coin box contains 5 times as many nickels and 6 times as many quarters as it does dimes. If the box contains a total of $123.95, how many coins of each kind does it contain? The vending machine coin box contains The vending machine coin box contains nickels. The vending machine coin box contains dimes. quarters.

There are 49,000 seats in a stadium divided into three levels: lower level, club level, and upper level. The number of seats in the lower level and club levels combined equals the number of seats in the upper level. Club level seats sell for $412, lower level seats sell for $162, and upper level seats sell for $107. When the stadium is completely full, the revenue is $9,115,500. If there are 14,400 seats in the lower level, how many seats are in each of the other two levels?

You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $5, red chips are worth $10 and blue chips are worth $20. You need $20 worth of chips in order to see someone's raise, so you take chips out of the bag one at a time, noting the color of each one as it's removed, and stop when the total value of the chips removed is at least $20. How many sequences of chip colors are possible when you do this? (A) 0 (В) 9 (С) 5 (D) 10 (E) 3 (F) 11 (G) 8 (Н) 7

an artist makes three types of ceramic statues( large, medium and small) at monthly cost of $880 for 250 statues. the manufacturing costs for the three types are $5,$4,$3. if the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $4,240 in monthly revenue Large ? Medium ? Small ?

both sheets are for the same problem.